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Finding the Fourth Proportional to 15,435, 21,305.16 and 9,846

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Solution

The fourth proportional to 15,435, 21,305.16 and 9,846 is: 13,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,435 : 21,305.16 = 9,846 : x
  2. Step 2: Convert to fraction form
    15,435/21,305.16 = 9,846/x
  3. Step 3: Cross multiply
    15,435x = 21,305.16 × 9,846
  4. Step 4: Simplify right side
    15,435x = 209,770,605.36
  5. Step 5: Solve for x
    x = 209,770,605.36/15,435
  6. Step 6: Final answer
    x = 13,590.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.